Third, music: beautiful piano sound is composed of various conditions. Beethoven, Mozart, Bach, Bartok, Debussy, Schubert and so on. There is a perfect harmony of the golden section in their music. The climax of music is mostly at the intersection of 5: 8. Stradivari also used the golden section to determine the exact location of the F-shaped hole when making his famous violin. The golden section law is an important part of violin system engineering. The golden section law of violin is difficult to debug, and some of them can be debugged by themselves. It is difficult to debug because others know it inaccurately. If possible, the sound quality can be improved to some extent by adjusting the golden section of some adjustable parts. Similarly, if erhu wants to get the best sound quality, its weight should be placed on the chord length of 0.6 18. The understanding and application of the golden section by the ancient people in China are exactly the same as those in the west. "The length of the piano will be reduced by one third, the gain will be one third, and the phase will increase or decrease."
Life phenomenon: French mathematician Ai Du Val Lucas took the lead in using Fibonacci sequence. Since then, scientists have begun to pay attention to such examples in nature, such as the spiral of sunflower disk and pine cone, the distribution of buds on plant stems, the formation of seeds and the growth formula of animal horns. The development law of human beings from embryos, babies, children to adults also follows the golden ratio. Among plants, ornamental flowers, such as peony, rose, lotus, chrysanthemum, etc., are straight oval when they are in bud, and the ratio of long and short axes is close to the golden section. On the stems of some plants, the included angle between two adjacent leaves is137 28'. This is exactly the angle between two radii that divide the circumference into 1: 0.6 18. According to the research, this angle is most beneficial to the ventilation and lighting of the factory building. The arrangement of spiral pinecones is similar to that above. Sunflower seeds are arranged in opposite arcs on a disk, and the diameter ratio between two adjacent circles is φ. Sunflower has 89 pigtails, 55 of which face one side. 34 are facing the other side. If you separate the male bees from the female bees in any hive in the world, you will get the same ratio PHI. The ratio of the diameter of each circle of ribs on Nautilus to the diameter of adjacent ribs is φ. The parts of insects actually conform to the golden section. The most suitable temperature for the human body is the golden section, because the normal body temperature is 37.5 degrees. Its product with 0.6 18 is 23. 175℃. Under this environmental temperature, the body's metabolism, circadian rhythm and physiological function are in the best state. In the animal kingdom, the body temperature of advanced warm animals such as animals is between 37-39℃, which is the liquid range of 0- 100% of water, and there are two golden sections. That is about 38%. Through years of observation, health care scientists found that the relationship between activity and quietness is 0.6 18, and roughly four classes and six minutes of quietness is a better health care method. Medical experts have found that people who eat 60% to 70% of a meal have almost no stomach problems. When the high-low frequency ratio is 1: 0.6 18, people's EEG is the most pleasant moment of body and mind. Humans are omnivores, with a digestive length of 9 meters, and its 0.6 18 is 5.5 meters, which is the length of the small intestine that undertakes the task of digestion and absorption, and is most suitable for complex diets dominated by vegetarianism. Food provides heat energy for human body, which is composed of carbohydrates. Carbohydrate heating accounts for 0.6 18 of the total thermal energy demand of human body, mainly starch in grains. It is very scientific to say that eating is a meal, which highlights the key points. In the food structure of some developed countries, this "golden section" has been reversed, and animal foods account for the majority, leading to a great increase in the incidence of cardiovascular diseases, diabetes and obesity. Protein is the most organic substance in human body, with 20 kinds. 6 1.8% of "20", that is, 12 amino acids are synthesized by human body, and the remaining 8 amino acids must be supplied by food. Due to the poor quality of protein in cereals, in order to ensure the intake of protein, the supply of high-quality protein in the diet should reach 6 1.8%. High-quality protein mainly exists in animal food and beans. Eating a proper amount of bean food and bean products every day is very beneficial to your health. Vegetable oil and animal fat have their own physiological functions, and the intake ratio of vegetable oil and animal fat should also conform to the golden ratio. Acid-base balance. Rice, flour, meat, eggs, oil, sugar and wine are all acidic foods. Eating too much will make the blood sour, leading to acidic constitution, decreased immunity and easy to get sick. According to statistics, it is 6 1.8. Eat more alkaline food to keep the blood slightly alkaline. Alkaline foods mainly include kelp, edible fungi, vegetables and fruits, and the consumption should account for 6 1.8% of the total diet. The average life expectancy of Japanese people ranks first in the world for many years, and a reasonable diet is a big factor. In their diet, the proportion of cereals, vegetarian dishes, high-quality protein and alkaline foods has basically reached the golden ratio. The water in the human body accounts for 6 1.8% of the body weight, and the water lost and needed to be replenished every day reaches 2500ml. Among them, the water supplied by semi-solid food and the water synthesized in human body account for about 6 1.8%. The rest.
Verb (abbreviation of verb) society: In fact, 0.6 18 has certain significance and reference value for financial payment, students' graduation scores, the proportion of voters, the proportion of imports and exports, and the proportion of shareholders.
In production, the optimization method is a method to solve the optimization problem, which is the "0.6 18 method" put forward by Kiefer in the United States in 1953, that is, how to make the output the highest, the quality the best and the consumption the least. If the experimental point is set at about 0.6 18, the number of experiments will be greatly reduced. The experimental statistics show that using "0.6 18 method" to do 16 experiments can achieve the effect of "dichotomy" to do 2500 experiments. In the stock market, the golden ratio is Eliot wave theory widely used by investors. The theory points out that when the stock index or stock price falls, when the rising speed of the stock index or stock price reaches 0.382 times or 0.66543.0000000005, when the falling range reaches 0.382 times or 0.6 18 times of the previous wave band, it will generate huge support and may stop falling and rebound at any time. The stock market is an act of gathering people together, and war is similar to it. The Abela war in ancient Macedonia and Persia was a successful example of Europeans using 0.6 18 in the war. Persia has dozens of times more troops in Macedonia than Alexander. Alexander the Great chose the attack point of his army at the junction of the left and middle of King Darius's army in Persia (golden point), and defeated the Persian army in flight. In the Gulf War in modern times, the multinational forces defeated the Iraqi army in a similar way. In order to make the loss of Iraqi troops reach this critical point, the United States and Britain have repeatedly extended the bombing time by 38 days. Until it destroyed 38% of 428 tanks, 32% of 2,280 armored vehicles and 47% of 3 100 artillery in the Iraqi war zone, the strength of the Iraqi army dropped to about 60%, which was the critical point of the army's loss of combat effectiveness (golden section). After that, it only took 100 hour to achieve the goal of ground war.
6. Other natural phenomena: The solar system itself is a Fibonacci spiral, forming a whirlpool centered on the sun. In fact, Leonardo once said, "Unlike wheels, whirlpools move faster and faster." For example, a year of mercury (mercury goes around the sun once) is equal to 88 days of the earth's year. Pluto's 1 year is 248 times that of the earth. The facts listed by Tracy Twyman and Boyd Rice in The Boat of God go further: the distance between the sun and mercury, plus the distance between mercury and Venus, is equal to the distance between Venus and the earth. The moon is the closest planet to the Earth in the solar system, and its average density (3.4g/cm) is equal to that of the Earth (5.5g/cm).
The latitude of 23.5 degrees north latitude is a strange zone, and there are many natural wonders and human wonders on the tropic of cancer. From the traditional point of view, the Tropic of Cancer is a good feng shui zone. Let's take a look at some "feng shui phenomena" in this area: around the Tropic of Cancer, there are the highest Qinghai-Tibet Plateau in the world, the largest Sahara desert, the Great Plains in the eastern United States, the deepest trench in the world-Mariana Trench, the peak known as the roof of the world-Mount Everest, the longest river in China-the Yangtze River, and many famous natural scenic spots. Such as Zhangjiajie, Xishuangbanna, Guilin and Yunnan Shilin. The Bermuda Triangle, a famous energy anomaly area, passes through the Tropic of Cancer. It has the largest pyramid group in the world. Looking through the who's who of the world, we will find that many great men were born in this area, which is the most lush place in the biosphere. The inclination of the earth's axis certainly has its profound cosmic significance. If we analyze the tropic of cancer caused by the oblique axis, we will find that it is located at the golden section of the earth axis. Some people regard the Middle East as the "navel" of the earth, because it is not only located at about 30 degrees east longitude and 30 degrees north latitude, but also has the largest oil depot. It is the holy land of the two major religions in the world and a very eventful place in history.